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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Ratio of Two Envelopes Taken From alpha-mu, eta-mu, and kappa-mu Variates and Some Practical Applications

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Nogueira Da Silva, Carlos Rafael [1] ; Simmons, Nidhi [2] ; Leonardo, Elvio J. [3] ; Cotton, Simon L. [2] ; Yacoub, Michel Daoud [1]
Total Authors: 5
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, Wireless Technol Lab, BR-13083970 Campinas, SP - Brazil
[2] Queens Univ Belfast, Inst Elect Commun & Informat Technol, Wireless Commun Lab, Belfast BT3 9DT, Antrim - North Ireland
[3] Univ Estadual Maringa, Dept Informat, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 3
Document type: Journal article
Source: IEEE ACCESS; v. 7, p. 54449-54463, 2019.
Web of Science Citations: 1

In this paper, new, exact expressions for the probability density functions and the cumulative distribution functions of the ratio of random envelopes involving the alpha-mu, eta-mu, and kappa-mu fading distributions are derived. The expressions are obtained in terms of easily computable infinite series and also in terms of the multivariable Fox H-function. Some special cases of these ratios, namely, Hoyt/Hoyt, eta-mu/Nakagami-m, kappa-mu/Nakagami-m, kappa-mu/eta-mu with an integer mu for the eta-mu variate, eta-mu/eta-mu with an integer mu for only one of the eta-mu, and their reciprocals are found in novel exact closed-form expressions. In addition, simple closed-form expressions for the asymptotes of the probability density functions and cumulative distribution functions of all ratios, both for the lower and upper tails of the distributions are derived. In the same way, asymptotes for the bit error rate on a binary signaling channel are obtained in closed-form expressions. To demonstrate the practical utility of these new formulations, an application example is provided. In particular, the secrecy capacity of a Gaussian wire-tap channel used for device-to-device and vehicle-to-vehicle communications is characterized using data obtained from field measurements conducted at 5.8 GHz. (AU)

FAPESP's process: 18/16667-8 - Composite fading channel caracterization
Grantee:Carlos Rafael Nogueira da Silva
Support type: Scholarships in Brazil - Post-Doctorate